What is xe^{-(x^2)/(2a^2)} ?

The solution to xe^{-(x^2)/(2a^2)} is x/(e^{\frac{x^2){2a^2}}}

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simplify xe^{-(x^2)/(2a^2)}

simplify

x e^{- \frac{x ^{2}}{2 a ^{2}}}

\frac{x}{e ^{\frac{x ^{2}}{2 a ^{2}}}}

Solution steps

x e^{- \frac{x ^{2}}{2 a ^{2}}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{\frac{x ^{2}}{2 a ^{2}}}} x

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot x}{e ^{\frac{x ^{2}}{2 a ^{2}}}}

Multiply:

1 \cdot x = x

= \frac{x}{e ^{\frac{x ^{2}}{2 a ^{2}}}}

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What is xe^{-(x^2)/(2a^2)} ?
The solution to xe^{-(x^2)/(2a^2)} is x/(e^{\frac{x^2){2a^2}}}